Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
570 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14528763 | C2 | semidirect |
| 3. #14528476 | C2 | semidirect |
| 4. #14526609 | C2 | semidirect |
| 5. #14526609 | C2 | semidirect |
| 6. #14526605 | C2 | semidirect |
| 7. C17×#1270 | C2 | semidirect |
| 192. #1270 | D17 | semidirect |
| 290. C17 | #7710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537084 | 2 |
| #14528763 | 2 |
| #14528476 | 2 |
| #14526609 | 2 |
| #14526605 | 2 |
| C17×#1270 | 2 |
| #7710 | 17 |